where \(_{\zeta }\) , \(_{\zeta \zeta }\) , and \(_{\zeta \zeta \zeta \zeta }\)  denote the first, second, and fourth derivatives with respect to \(\zeta \) . The equation explains several physical phenomena such as instabilities of dissipative trapped ion modes in plasma, or fluctuation in fluid films, see, e.g., [1]}. We again use the data provided in [2]} for the equations which is simulated using a spectral method with \(1~024\)  spatial grid points and 251 time-steps. Since the dynamics present in the data is very rich, complex, and exhibits chaotic behavior, we require networks that are more expressive as compared to the previous example; the details about the networks are provided in tab:NNinfoPDE.
